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Finding the Fourth Proportional to 12,947.98, 17,869.16 and 7,913.16

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Solution

The fourth proportional to 12,947.98, 17,869.16 and 7,913.16 is: 10,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.98 : 17,869.16 = 7,913.16 : x
  2. Step 2: Convert to fraction form
    12,947.98/17,869.16 = 7,913.16/x
  3. Step 3: Cross multiply
    12,947.98x = 17,869.16 × 7,913.16
  4. Step 4: Simplify right side
    12,947.98x = 141,401,522.15
  5. Step 5: Solve for x
    x = 141,401,522.15/12,947.98
  6. Step 6: Final answer
    x = 10,920.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.